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3 years ago

Find the area of the triangle

Mathematics

1 answer:

Misha Larkins [42]3 years ago

8 0

Answer:

=14.69km²

Step-by-step explanation:

We can use the Hero's formula to calculate the area

A= √(s(s-a)(s-b)(s-c))

s is obtained by adding the lengths of the three sides of the triangle and then dividing by 2, a, b and c are the ides of the triangle.

S=(5+6+7)/2

A=√(9(9-6)(9-5)(9-7))

=√(9×3×4×2)

=√216

=14.69km²

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Find the volume of the following solid:

Nadya [2.5K]

Answer:

390cm³

Step-by-step explanation:

IF you look at the figure attached, you will see that your figure is made up of 3 rectangular prisms.

All you need to do is solve for the volume of each prism and add them up together.

The formula to use to get the volume of a rectangular prism is:

$V=whl$

Where:

V = Volume

w = width

l = length

h = height

Let's get the first one and double it because you have rectangular prisms with the same dimensions:

$V = wlh\\\\V= (5cm)(2cm)(12cm) = 120cm^3\\\\120cm^3 \times 2=240cm^3$

Next we get the rectangular prism in the middle:

Notice that the height of the side rectangular prisms is 12 cm. To get the height of the middle figure, just subtract 5cm and 2 cm from the height because they are the excess of the middle.

12cm - (5cm + 2cm)

12 cm - 7cm = 5cm

Then we plug it into the formula

$V = wlh\\\\V= (5cm)(6cm)(5cm) = 150cm^3$

Now that we have the volumes of all figures, just add them up together:

150cm³ + 240cm³ = 390cm³

4 0

3 years ago

This cuboid is made from cm squares

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Each signal unit cubes are 1 cm to each side

the dimensions of the large cube is 4 by 6 by 3 width height and depth

a) volume of the cube Vol = area of the base times height

area of the base = the width times the depth

Volume = Base Depth

= Width x Depth x Height

= 4 x 3 x 6

= 12 x 6

Vol = 72 cm ³

b ) the volume of the smaller cuboid has different dimensions

the smaller cube is 2 by 2 by 1 width height and depth

Volume = Base Depth

= Width x Depth x Heigh

= 2 x 2 x 1

Vol smaller cuboid = 4

How many smaller cubes can be made?

The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

Number of cuboid = Volume of the cube / Volume of the cuboid

= 72 / 4

= 18

Check this answer by dividing the dimension of the cube by the cuboid

4 by 6 by 3

2 by 2 by 1

(4/2) by (6/2) by (3/1)

2 by 3 by 3 = 2 x 3 x 3 = 18

3 0

3 years ago

George is bringing granola bars and apples for his classmates at school. Apples cost $0.75 each, and granola bars cost $0.15 eac

Nataly [62]

Answer:

Step-by-step explanation:

8 0

3 years ago

Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?.

SashulF [63]

Answer: A large mean difference and small sample variances 

Step-by-step explanation:

<em>Effect size (η)</em> is a statistical measure that determines the strength of the association (numerically) between two variables. For example, if we have data on the weight of male and female candidates and we realize that, on average, males are heavier than females, the difference between the weight of males and the weight of female candidates is known as the effect size.

The larger the effect size, the larger the weight difference between males and females will be.

Statistic effect size helps us in analyzing if the difference is factual or if it is affected by a change of factors.

In hypothesis testing, effect size, power, sample size, and critical significance level are related to each other.

The effect size formula for a hypothesis test of mean difference is:

<em>η = </em> $\frac{x1-x2}{\sqrt[]{8^2} }$

The denominator s² is the combined sample variance.

$8^2 =$ ⊕

The effect size is affected by two components:

Sample mean difference

Sample variance.

As the sample mean difference is directly proportional to the effect size, on increasing the sample mean difference value the effect size will also increase.

Ans the sample variance is inversely proportional to the the effect size, on decreasing the sample variance value the effect size will increase and vice-versa.

Thus, the correct option is A large mean difference and small sample variances

8 0

3 years ago

A population of bacteria is introduced into a culture. the number of bacteria P can be modeled by P=500(1+4t/(50+t^2 )) where t

Dennis_Churaev [7]

P(t)=500(1+4t/(50+t^2 ))

P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2

by the quotient rule

500 (-4t^2 + 200)/(t^2 + 50)^2

Hence

P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6

6 0

4 years ago